Properties of the Number 21739

Twenty-One Thousand Seven Hundred Thirty-Nine

Basics

Value: 21738 → 21739 → 21740

Parity: odd

Prime: Yes

Previous Prime: 21737

Next Prime: 21751

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 21739

Divisors: 1, 21739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010011101011

Octal: 52353

Duodecimal: 106B7

Hexadecimal: 54eb

Square: 472584121

Square Root: 147.44151382836517

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Balanced primes of order six. A96698

Numbers k such that (8^k + 7^k)/15 is prime. A181141

Number of partitions of n for which 2*(number of distinct parts) > (number of parts). A237365

Primes which are triangular numbers plus 3. A159047

Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k). A57698

Primes p with same last two digits as k, where prime(k) = p. A232102

Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p·2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2). A232237

Values of odd prime numbers, D, for incrementally largest values of minimal·satisfying the equation x² - D·y² = -2. A336790

Values of odd prime numbers, D, for incrementally largest values of minimal positive y satisfying the equation x² - D·y² = -2. A336792

Bitwise encoding of the state of a 1D cellular automaton after n steps from ...111000... where adjacent cells swap 01 <-> 10 when within triples 110 or 011. A359303